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If triangle ABC has vertices A(1, 2), B(-1, -1), and C(0, -2), which of the following coordinates is B’ of the dilation using the scale factor 4?

If Triangle ABC Has Vertices A1 2 B1 1 And C0 2 Which Of The Following Coordinates Is B Of The Dilation Using The Scale Factor 4 class=

Sagot :

Fieryanswererftidn

Answer: B'(-4, -4)

Given : A(1, 2), B(-1, -1), C(0, -2)

"Focusing on B coordinates"

If the points are dilated with a scale factor of 4

Then new coordinates : (-1, -1) × 4 = B'(-4, -4)

Semsee45idn

Answer:

B' = (-4, -4)

Step-by-step explanation:

Dilation:  A type of transformation that makes the pre-image larger or smaller without changing its shape.

Center of a dilation:  a fixed point about which all points are dilated.

Given:

  • A = (1, 2)
  • B = (-1, -1)
  • C = (0, -2)
  • Scale factor = 4

For dilation when the center of dilation is the origin (0, 0), simply multiply the coordinates of the vertices of the pre-image by the given scale factor to find the image under dilation:

Therefore:

A' = (1 x 4, 2 x 4) = (4, 8)

B' = (-1 x 4, -1 x 4) = (-4, -4)

C' = (0 x 4, -2 x 4) = (0, -8)

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